Verified Solution • 2025–26 Session moderate

QAIPMT-2007-Ph-2377: NEET 2007 Physics - Class 12 AIPMT-2007-Ph-2377 Solution: A nucleus \(_Z^A X\) has mass represented by M(A, Z). If…

A nucleus ZAX_Z^A X has mass represented by M(A, Z). If MpM_p and MnM_n denote the mass of proton and neutron respectively and B.E. the binding energy in MeV, then

Multiple Choice Options

  • A B.E. = [ZMp+(A−Z)Mn−M(A,Z)]c2[ZM_p+(A-Z)M_n-M(A,Z)]c^2
  • B B.E. = [ZMp+AMp−M(A,Z)]c2[ZM_p+AM_p-M(A,Z)]c^2
  • C B.E. = M(A,Z)−ZMp−(A−Z)MnM(A,Z)-ZM_p-(A-Z)M_n
  • D B.E. = [M(A,Z)−ZMp−(A−Z)Mn]c2[M(A,Z)-ZM_p-(A-Z)M_n]c^2

Step-by-Step Verified Solution

The difference in mass of a nucleus and its constituents, _ M, is called the mass defect and is given by _ M = [ZM p + (A _ Z)M n ] - M(A, Z) binding energy = _ Mc 2 = [ZM p + (A _ Z)M n _ M(A, Z)]c 2

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